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Let A = {:[(2,4),(1,-3)] and B = [(1,-1,...

Let `A = {:[(2,4),(1,-3)] and B = [(1,-1,5),(0,2,6)]` Is BA defined ? Justify your answer.

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Let A = {:[(2,4),(1,-3)] and B = [(1,-1,5),(0,2,6)] Find AB.

Let A = [(1,3,2),(0,1,4)] and B = [(1,4),(0,1),(2,3)] . Show that AB ne BA

Let A = {:[(1,2,3),(2,3,4),(-1,1,2)] and B = [(0,2,-1),(1,3,4),(0,-2,-3)] Find AB and BA. Is AB = BA?

Let A={1,2,3,4}, B = {1,5,9,11,15,16} and f={(1,5), (2,9), (3,1), (4,5), (2,11)}. Is the following true? Justify your answer. f is a relation from A to B

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Let A = [(1,0),(2,3)], B = [(0,1,2),(3,2,1)] and C = [(1,0,4),(-2,1,0),(3,2,6)] . Verify that (AB) C = A (BC)

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : AB ne BA

If A=[{:(2,3,-1),(1,4,2):}] and B=[{:(2,3),(4,5),(2,1):}] , then AB and BA are defined and equal .

Let A = [(1,-2,0),(-1,3,5)], B = [(0,1,2),(2,0,1)] and C = [(2,-1,3),(0,1,4)] . Verify that (A+B) + C = A + (B+C)

MODERN PUBLICATION-MATRICES-EXERCISE
  1. Let A = {:[(2,4),(1,-3)] and B = [(1,-1,5),(0,2,6)] Is BA defined ? Ju...

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  2. If a matrix has 8 elements, what are the possibles orders it can have?

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  3. If a matrix has 24 elements, what are the possible orders it can have?...

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  4. Name the square matrix A = [a(ij)] in which a(ij) = 0, I ne J.

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  5. If [5,6,7] A = [13,23], what is the order of the matrix A?

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  6. Write the element a12 of the matrix A = [a(ij)](2xx2) a(ij) = e^(2ix...

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  7. For a 2xx2 matrix, A = [a(ij)], whose elements are given by a(ij) = ...

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  8. Find the value of 'x', if: {:[(3x+y, -y),(2y-x,3)] = [(1,2),(-5,3)]

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  9. Find the value of 'x', if: {:[(x+2y, 5),(-y,3)] = [(7,5),(-2,3)]

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  10. Find the value of 'y', if: {:[(y+2x, 5),(-x,3)]=[(7,5),(-2,3)]

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  11. Find the values of 'x' and 'y' when : {:[(x+2y, 3y),(4x,2)] = [(0,-3),...

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  12. Find the values of x, y and z from the following equation: [[x+y+z],[x...

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  13. If A is a square matrix of order m, and if there exists another square...

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  14. Construct a 2 xx 2 matrix A = [a(ij)] whose elements are given by...

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  15. Construct a 2xx2 matrix A = [a(ij)] whose elements are given by: a(i...

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  16. find the element of a13 if A = [a(ij)] whose elements are given by: ...

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  17. Construct a 2xx2 matrix A = [a(ij)] whose elements are given by: a(i...

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  18. Construct a 2xx2 matrix A = [a(ij)] whose elements are given by: a(i...

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  19. Construct a 2 xx 3 matrix whose elements in the ith row and jth co...

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  20. Construct a 2xx3 matrix whose elements in the with row and jth column ...

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  21. Construct a 3xx2 matrix whose elements in the ith row and jth column a...

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